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(b) Determine the values of K and k for the following second order system so that...
Problem #9 Determine the values of K and k of the closed-loop system shown in Figure 9 so that the maximum overshot in unit step response is 25 % and the peak time is 2 sec. Assume that J= 1 Kg.m? R(3) - HQ C(s) Figure 9 Problem #10 The open-loop transfer function of a unity feedback system is sis +23 It is specified that the response of the system to step inpur should have a maximum overshoot of 10...
Question three The figure below shows a unit step response of a second order system. From the graph of response find: 1- The rise timet, 2- The peak timet, 3- The maximum overshoot Mp 4- The damped natural frequency w 5. The transfer function. Hence find the damping ratio ζ and the natural frequency ah-Find also the transfer function of the system. r 4 02 15 25 35 45 Question Four For the control system shown in the figure below,...
Exercise 3 (15pts) A control system is given by the second order transfer function bellow: Natural frequency of oscillations Damped ratio Determine the range of values of K that render the system underdamped Pick one of those values of K (of your choice) and determine 1. 2. 3. 4. a. Percentage overshoot b. Settling time c. Peak time Exercise 3 (15pts) A control system is given by the second order transfer function bellow: Natural frequency of oscillations Damped ratio Determine...
10 Marks Consider the following second-order system 56 u. (a) 2 Marks] What are the poles of the system? (b) 2 Marks] What is the meaning that the system be stable in terms of system response x(t)? Is the system stable or not? (c) [6 Marks] Design a rate-feedback PD controller u(t) — К,(r — г) - Кай so that the system response to a step input has a settling time around 2 sec and an overshoot of about 5%....
Consider the system shown in the following. Determine the value of k such that the damping ratio } is 0.5. Then obtain the rise time ty, peak time tp, maximum overshoot Mp, and settling time ts in the unit-step response. R(S) C(s) 16 $ + 0.8 k
2- The following requirements are given for a second-order system that is described by the transfer function s2+25Wnstwa Maximum overshoot: 5% <P.0.< 15% Settling time: 5s < 75% < 10s Peak time: tp < 2s (a) Describe and sketch the s-plane regions of the pole locations satisfying the requirements. (20pts) (b)Determine the largest and smallest possible peak time of a system with the poles satisfying the requirements. (10pts) Hints: Im(s) cos =-5 10, vi Res P.O.=100e 1-3 16 wn, tp
6.24 The transfer function for a second-order system is 35+5 32+20s + 500 (a) Determine the impulsive response of the system. (b) Deter- mine the step response of the system. (e) Determine the 2 per- cent settling time. (d) Determine the 10-90 percent rise time. (e) Determine the percent overshoot of the step response. (f) Determine the peak time of the step response.
Problem #3 a) Determine if the next second order system is oscillating, low damped, critically damped or overdamped. Justify your conclusion. G(s)10 s2 +s +1 b) Determine the maximum percentage overdrive (if any) and the set time to the 2% criterion that will have the response to the unit step of the previous system. c) Plot the response to the magnitude 5 step of the G (s) system.
3- Consider the following system. a) b) Select Ki so that the steady state error is zero. Determine the percent overshoot P.O. and the time to peak To of the unit step response when Ki is as in part (a). R(G) 3- Consider the following system. a) b) Select Ki so that the steady state error is zero. Determine the percent overshoot P.O. and the time to peak To of the unit step response when Ki is as in part...
please help to solve this. Thank you B1. Consider the second order system where damping ratio 3-0.6 and natural angular frequency Ww=5 rad/sec. find the rise time tr, peak time tp, maximum overshoot Mp, and settling time ts (2%) when the system is subjected to a unit-step input. I B2. Find the steady-state errors for inputs of 5 u(t), 5t u(t), and 5t.u(t) to the system shown in the following figure. The function u(t) is the unit step. R(S) +...